{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "01_Keras_stateful_RNN_solution.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "toc_visible": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "RH-br21Mfg83",
        "colab_type": "text"
      },
      "source": [
        "# An stateful RNN model to generate sequences\n",
        "RNN models can generate long sequences based on past data. This can be used to predict stock markets, temperatures, traffic or sales data based on past patterns. They can also be adapted to [generate text](https://docs.google.com/presentation/d/18MiZndRCOxB7g-TcCl2EZOElS5udVaCuxnGznLnmOlE/pub?slide=id.g139650d17f_0_1185). The quality of the prediction will depend on training data, network architecture, hyperparameters, the distance in time at which you are predicting and so on. But most importantly, it will depend on wether your training data contains examples of the behaviour patterns you are trying to predict.\n",
        "\n",
        "This is the solution notebook. The corresponding work notebook is [01_Keras_stateful_RNN_playground.ipynb](https://colab.research.google.com/github/GoogleCloudPlatform/tensorflow-without-a-phd/blob/master/tensorflow-rnn-tutorial/01_Keras_stateful_RNN_playground.ipynb)\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9l96vOsPfg84",
        "colab_type": "code",
        "outputId": "0ff86ea5-0d4e-49a8-f36f-e9c9c1f28323",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 50
        }
      },
      "source": [
        "# using Tensorflow 2\n",
        "%tensorflow_version 2.x\n",
        "import math\n",
        "import numpy as np\n",
        "from matplotlib import pyplot as plt\n",
        "import tensorflow as tf\n",
        "print(\"Tensorflow version: \" + tf.__version__)"
      ],
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "TensorFlow 2.x selected.\n",
            "Tensorflow version: 2.0.0\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gxJ60M-4ilJy",
        "colab_type": "code",
        "cellView": "form",
        "colab": {}
      },
      "source": [
        "#@title Data formatting and display utilites [RUN ME]\n",
        "\n",
        "def dumb_minibatch_sequencer(data, batch_size, sequence_size, nb_epochs):\n",
        "    \"\"\"\n",
        "    Divides the data into batches of sequences in the simplest way: sequentially.\n",
        "    :param data: the training sequence\n",
        "    :param batch_size: the size of a training minibatch\n",
        "    :param sequence_size: the unroll size of the RNN\n",
        "    :param nb_epochs: number of epochs to train on\n",
        "    :return:\n",
        "        x: one batch of training sequences\n",
        "        y: one batch of target sequences, i.e. training sequences shifted by 1\n",
        "    \"\"\"\n",
        "    data_len = data.shape[0]\n",
        "    nb_batches = data_len // (batch_size * sequence_size)\n",
        "    rounded_size = nb_batches * batch_size * sequence_size\n",
        "    xdata = data[:rounded_size]\n",
        "    ydata = np.roll(data, -1)[:rounded_size]\n",
        "    xdata = np.reshape(xdata, [nb_batches, batch_size, sequence_size])\n",
        "    ydata = np.reshape(ydata, [nb_batches, batch_size, sequence_size])\n",
        "\n",
        "    for epoch in range(nb_epochs):\n",
        "        for batch in range(nb_batches):\n",
        "            yield xdata[batch,:,:], ydata[batch,:,:]\n",
        "            \n",
        "            \n",
        "def rnn_minibatch_sequencer(data, batch_size, sequence_size, nb_epochs):\n",
        "    \"\"\"\n",
        "    Divides the data into batches of sequences so that all the sequences in one batch\n",
        "    continue in the next batch. This is a generator that will keep returning batches\n",
        "    until the input data has been seen nb_epochs times. Sequences are continued even\n",
        "    between epochs, apart from one, the one corresponding to the end of data.\n",
        "    The remainder at the end of data that does not fit in an full batch is ignored.\n",
        "    :param data: the training sequence\n",
        "    :param batch_size: the size of a training minibatch\n",
        "    :param sequence_size: the unroll size of the RNN\n",
        "    :param nb_epochs: number of epochs to train on\n",
        "    :return:\n",
        "        x: one batch of training sequences\n",
        "        y: one batch of target sequences, i.e. training sequences shifted by 1\n",
        "    \"\"\"\n",
        "    data_len = data.shape[0]\n",
        "    # using (data_len-1) because we must provide for the sequence shifted by 1 too\n",
        "    nb_batches = (data_len - 1) // (batch_size * sequence_size)\n",
        "    assert nb_batches > 0, \"Not enough data, even for a single batch. Try using a smaller batch_size.\"\n",
        "    rounded_data_len = nb_batches * batch_size * sequence_size\n",
        "    xdata = np.reshape(data[0:rounded_data_len], [batch_size, nb_batches * sequence_size])\n",
        "    ydata = np.reshape(data[1:rounded_data_len + 1], [batch_size, nb_batches * sequence_size])\n",
        "\n",
        "    whole_epochs = math.floor(nb_epochs)\n",
        "    frac_epoch = nb_epochs - whole_epochs\n",
        "    last_nb_batch = math.floor(frac_epoch * nb_batches)\n",
        "    \n",
        "    for epoch in range(whole_epochs+1):\n",
        "        for batch in range(nb_batches if epoch < whole_epochs else last_nb_batch):\n",
        "            x = xdata[:, batch * sequence_size:(batch + 1) * sequence_size]\n",
        "            y = ydata[:, batch * sequence_size:(batch + 1) * sequence_size]\n",
        "            x = np.roll(x, -epoch, axis=0)  # to continue the sequence from epoch to epoch (do not reset rnn state!)\n",
        "            y = np.roll(y, -epoch, axis=0)\n",
        "            yield x, y\n",
        "            \n",
        "\n",
        "plt.rcParams['figure.figsize']=(16.8,6.0)\n",
        "plt.rcParams['axes.grid']=True\n",
        "plt.rcParams['axes.linewidth']=0\n",
        "plt.rcParams['grid.color']='#DDDDDD'\n",
        "plt.rcParams['axes.facecolor']='white'\n",
        "plt.rcParams['xtick.major.size']=0\n",
        "plt.rcParams['ytick.major.size']=0\n",
        "plt.rcParams['axes.titlesize']=15.0\n",
        "\n",
        "\n",
        "def display_lr(lr_schedule, nb_epochs):\n",
        "  x = np.arange(nb_epochs)\n",
        "  y = [lr_schedule(i) for i in x]\n",
        "  plt.figure(figsize=(9,5))\n",
        "  plt.plot(x,y)\n",
        "  plt.title(\"Learning rate schedule\\nmax={:.2e}, min={:.2e}\".format(np.max(y), np.min(y)),\n",
        "            y=0.85)\n",
        "  plt.show()\n",
        "  \n",
        "def display_loss(history, full_history, nb_epochs):\n",
        "  plt.figure()\n",
        "  plt.plot(np.arange(0, len(full_history['loss']))/steps_per_epoch, full_history['loss'], label='detailed loss')\n",
        "  plt.plot(np.arange(1, nb_epochs+1), history['loss'], color='red', linewidth=3, label='average loss per epoch')\n",
        "  plt.ylim(0,3*max(history['loss'][1:]))\n",
        "  plt.xlabel('EPOCH')\n",
        "  plt.ylabel('LOSS')\n",
        "  plt.xlim(0, nb_epochs+0.5)\n",
        "  plt.legend()\n",
        "  for epoch in range(nb_epochs//2+1):\n",
        "    plt.gca().axvspan(2*epoch, 2*epoch+1, alpha=0.05, color='grey')\n",
        "  plt.show()\n",
        "\n",
        "def picture_this_7(features):\n",
        "    subplot = 231\n",
        "    for i in range(6):\n",
        "        plt.subplot(subplot)\n",
        "        plt.plot(features[i])\n",
        "        subplot += 1\n",
        "    plt.show()\n",
        "    \n",
        "def picture_this_8(data, prime_data, results, offset, primelen, runlen, rmselen):\n",
        "    disp_data = data[offset:offset+primelen+runlen]\n",
        "    colors = plt.rcParams['axes.prop_cycle'].by_key()['color']\n",
        "    plt.subplot(211)\n",
        "    plt.xlim(0, disp_data.shape[0])\n",
        "    plt.text(primelen,2.5,\"DATA |\", color=colors[1], horizontalalignment=\"right\")\n",
        "    plt.text(primelen,2.5,\"| PREDICTED\", color=colors[0], horizontalalignment=\"left\")\n",
        "    displayresults = np.ma.array(np.concatenate((np.zeros([primelen]), results)))\n",
        "    displayresults = np.ma.masked_where(displayresults == 0, displayresults)\n",
        "    plt.plot(displayresults)\n",
        "    displaydata = np.ma.array(np.concatenate((prime_data, np.zeros([runlen]))))\n",
        "    displaydata = np.ma.masked_where(displaydata == 0, displaydata)\n",
        "    plt.plot(displaydata)\n",
        "    plt.subplot(212)\n",
        "    plt.xlim(0, disp_data.shape[0])\n",
        "    plt.text(primelen,2.5,\"DATA |\", color=colors[1], horizontalalignment=\"right\")\n",
        "    plt.text(primelen,2.5,\"| +PREDICTED\", color=colors[0], horizontalalignment=\"left\")\n",
        "    plt.plot(displayresults)\n",
        "    plt.plot(disp_data)\n",
        "    plt.axvspan(primelen, primelen+rmselen, color='grey', alpha=0.1, ymin=0.05, ymax=0.95)\n",
        "    plt.show()\n",
        "\n",
        "    rmse = math.sqrt(np.mean((data[offset+primelen:offset+primelen+rmselen] - results[:rmselen])**2))\n",
        "    print(\"RMSE on {} predictions (shaded area): {}\".format(rmselen, rmse))"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ouNkUJLBfg89",
        "colab_type": "text"
      },
      "source": [
        "## Generate fake dataset"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QLTqiqjSfg8-",
        "colab_type": "code",
        "outputId": "2ac5da9b-a13e-42ea-9b60-466706415211",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 373
        }
      },
      "source": [
        "WAVEFORM_SELECT = 1# select 0, 1 or 2\n",
        "\n",
        "def create_time_series(datalen):\n",
        "    # good waveforms\n",
        "    frequencies = [(0.2, 0.15), (0.35, 0.3), (0.6, 0.55)]\n",
        "    freq1, freq2 = frequencies[WAVEFORM_SELECT]\n",
        "    noise = [np.random.random()*0.1 for i in range(datalen)]\n",
        "    x1 = np.sin(np.arange(0,datalen) * freq1)  + noise\n",
        "    x2 = np.sin(np.arange(0,datalen) * freq2)  + noise\n",
        "    x = x1 + x2\n",
        "    return x.astype(np.float32)\n",
        "\n",
        "DATA_LEN = 1024*128+1\n",
        "data = create_time_series(DATA_LEN)\n",
        "plt.plot(data[:512])\n",
        "plt.show()"
      ],
      "execution_count": 65,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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pCPxLc6wXQZwU1/PxYN/A40vF8GvhOKCU8jUCpVo79LUiKdXEhMGV6oXeJutyWU81o+bh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nHWhL2Q4hltfeyxWQDA99936Jq/3TldgOcrbNbbeP+33rLt8//VO27Dr73rdvLx9UR1kWBWJtFU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\nrK9aZlBZVlfhuv1jDIOvqUSnb0cN7WzJHqmVGxy6yO3gZP+eb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4YAABD9SURB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\nSdKAbKolSZIkSRrQ/wBzersIwzLiZwAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 1209.6x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "YyjwHUwZfg9B",
        "colab_type": "text"
      },
      "source": [
        "## Hyperparameters"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "-gp8Qw-6fg9C",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "RNN_CELLSIZE = 80 # size of the RNN cells\n",
        "SEQLEN = 32       # unrolled sequence length\n",
        "BATCHSIZE = 30    # mini-batch size\n",
        "DROPOUT = 0.3     # dropout regularization: probability of neurons being dropped. Should be between 0 and 0.5"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WbsuSalyfg9E",
        "colab_type": "text"
      },
      "source": [
        "## Visualize training sequences\n",
        "This is what the neural network will see during training."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kYk8zx6jfg9F",
        "colab_type": "code",
        "outputId": "4b38893d-0b40-4b5d-81be-2492fff3ea87",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 423
        }
      },
      "source": [
        "# The function dumb_minibatch_sequencer splits the data into batches of sequences sequentially.\n",
        "for features, labels in dumb_minibatch_sequencer(data, BATCHSIZE, SEQLEN, nb_epochs=1):\n",
        "    break\n",
        "print(\"Features shape: \" + str(features.shape))\n",
        "print(\"Labels shape: \" + str(labels.shape))\n",
        "print(\"Excerpt from first batch:\")\n",
        "\n",
        "picture_this_7(features)"
      ],
      "execution_count": 67,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Features shape: (30, 32)\n",
            "Labels shape: (30, 32)\n",
            "Excerpt from first batch:\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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NncfLmfDGZrYeldEKQpxRU9/AR9syGdMlgM4WbvB4tmt7BPPKtN4cKShn0ltbeHTRXrKK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NziCjYcz6FDsO2X2WqWiRS2Ls7wQNtQ3t+dzfKkIiYP7NTYeNfFbJPif+xwRgHHc8p5YXJXIiLM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\n",
            "text/plain": [
              "<Figure size 1209.6x432 with 6 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8PB4I6Qafg9H",
        "colab_type": "text"
      },
      "source": [
        "## The model\n",
        "\n",
        "![deep RNN schematic](https://googlecloudplatform.github.io/tensorflow-without-a-phd/docs/images/RNN1.svg)\n",
        "<div style=\"text-align: right; font-family: monospace\">\n",
        "  X shape [BATCHSIZE, SEQLEN, 1]<br/>\n",
        "  Y shape [BATCHSIZE, SEQLEN, 1]<br/>\n",
        "  H shape [BATCHSIZE, RNN_CELLSIZE*NLAYERS]\n",
        "</div>\n",
        "In Keras layers, the batch dimension is implicit ! For a shape of [BATCHSIZE, SEQLEN, 1], you write [SEQLEN, 1]. In pure Tensorflow however, this is NOT the case."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9ga_jncykosN",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def keras_model(batchsize, seqlen):\n",
        "\n",
        "  model = tf.keras.Sequential([\n",
        "    tf.keras.layers.Reshape([seqlen, 1], input_shape=[seqlen,], batch_size=batchsize), # [BATCHSIZE, SEQLEN, 1] is necessary for RNN model\n",
        "    tf.keras.layers.GRU(RNN_CELLSIZE, stateful=True, return_sequences=True), # output shape [BATCHSIZE, SEQLEN, RNN_CELLSIZE]\n",
        "    tf.keras.layers.GRU(RNN_CELLSIZE, stateful=True, return_sequences=True), # output shape [BATCHSIZE, SEQLEN, RNN_CELLSIZE]\n",
        "    tf.keras.layers.TimeDistributed(tf.keras.layers.Dense(1)), # output shape [BATCHSIZE, SEQLEN, 1]\n",
        "    tf.keras.layers.Reshape([seqlen,])           # output shape [BATCHSIZE, SEQLEN]\n",
        "  ])\n",
        "\n",
        "  # to finalize the model, specify the loss, the optimizer and metrics\n",
        "  model.compile(\n",
        "     loss = 'mean_squared_error',\n",
        "     optimizer = 'adam',\n",
        "     metrics = ['RootMeanSquaredError'])\n",
        "  \n",
        "  return model"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8311WBkinlGp",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# Keras model callbacks\n",
        "\n",
        "# This callback records a per-step loss history instead of the average loss per\n",
        "# epoch that Keras normally reports. It allows you to see more problems.\n",
        "class LossHistory(tf.keras.callbacks.Callback):\n",
        "  def on_train_begin(self, logs={}):\n",
        "      self.history = {'loss': []}\n",
        "  def on_batch_end(self, batch, logs={}):\n",
        "      self.history['loss'].append(logs.get('loss'))\n",
        "      \n",
        "# This callback resets the RNN state at each epoch\n",
        "class ResetStateCallback(tf.keras.callbacks.Callback):\n",
        "  def on_epoch_begin(self, batch, logs={}):\n",
        "      self.model.reset_states()\n",
        "      print('reset state')\n",
        "\n",
        "reset_state = ResetStateCallback()\n",
        "      \n",
        "# learning rate decay callback\n",
        "#def lr_schedule(epoch): return 0.01\n",
        "def lr_schedule(epoch): return 0.0001 + 0.01 * math.pow(0.65, epoch)\n",
        "lr_decay = tf.keras.callbacks.LearningRateScheduler(lr_schedule, verbose=True)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "XlKtnYjbfg9V",
        "colab_type": "text"
      },
      "source": [
        "## The training loop"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Tcrj-e50yyuM",
        "colab_type": "code",
        "outputId": "dab20276-acef-4576-cd15-baf033deb5e8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 621
        }
      },
      "source": [
        "# Execute this cell to reset the model\n",
        "\n",
        "NB_EPOCHS = 8\n",
        "model = keras_model(BATCHSIZE, SEQLEN)\n",
        "\n",
        "# this prints a description of the model\n",
        "model.summary()\n",
        "\n",
        "display_lr(lr_schedule, NB_EPOCHS)"
      ],
      "execution_count": 70,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Model: \"sequential_19\"\n",
            "_________________________________________________________________\n",
            "Layer (type)                 Output Shape              Param #   \n",
            "=================================================================\n",
            "reshape_38 (Reshape)         (30, 32, 1)               0         \n",
            "_________________________________________________________________\n",
            "gru_38 (GRU)                 (30, 32, 80)              19920     \n",
            "_________________________________________________________________\n",
            "gru_39 (GRU)                 (30, 32, 80)              38880     \n",
            "_________________________________________________________________\n",
            "time_distributed_19 (TimeDis (30, 32, 1)               81        \n",
            "_________________________________________________________________\n",
            "reshape_39 (Reshape)         (30, 32)                  0         \n",
            "=================================================================\n",
            "Total params: 58,881\n",
            "Trainable params: 58,881\n",
            "Non-trainable params: 0\n",
            "_________________________________________________________________\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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jrMSFftFfzG+//caBAwdYtmwZkHmrZsWKFYmKinL85/Tiiy/y4osv5gpLI0aM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\n",
            "text/plain": [
              "<Figure size 648x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UM0AIbCSfg9V",
        "colab_type": "code",
        "cellView": "both",
        "outputId": "cdc5a87c-026a-4db5-90b2-d102cd86f5c8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 554
        }
      },
      "source": [
        "# You can re-execute this cell to continue training\n",
        "\n",
        "steps_per_epoch = (DATA_LEN-1) // SEQLEN // BATCHSIZE\n",
        "generator = rnn_minibatch_sequencer(data, BATCHSIZE, SEQLEN, NB_EPOCHS)\n",
        "#generator = dumb_minibatch_sequencer(data, BATCHSIZE, SEQLEN, NB_EPOCHS)\n",
        "full_history = LossHistory()\n",
        "history = model.fit_generator(generator,\n",
        "                              steps_per_epoch=steps_per_epoch,\n",
        "                              epochs=NB_EPOCHS,\n",
        "                              shuffle=False,\n",
        "                              callbacks=[lr_decay, full_history]) # Can add reset_state"
      ],
      "execution_count": 71,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "\n",
            "Epoch 00001: LearningRateScheduler reducing learning rate to 0.0101.\n",
            "Epoch 1/8\n",
            "136/136 [==============================] - 5s 39ms/step - loss: 0.0264 - RootMeanSquaredError: 0.1626\n",
            "\n",
            "Epoch 00002: LearningRateScheduler reducing learning rate to 0.006600000000000001.\n",
            "Epoch 2/8\n",
            "136/136 [==============================] - 6s 41ms/step - loss: 0.0083 - RootMeanSquaredError: 0.0909\n",
            "\n",
            "Epoch 00003: LearningRateScheduler reducing learning rate to 0.004325000000000001.\n",
            "Epoch 3/8\n",
            "136/136 [==============================] - 6s 44ms/step - loss: 0.0079 - RootMeanSquaredError: 0.0888\n",
            "\n",
            "Epoch 00004: LearningRateScheduler reducing learning rate to 0.00284625.\n",
            "Epoch 4/8\n",
            "136/136 [==============================] - 6s 45ms/step - loss: 0.0069 - RootMeanSquaredError: 0.0828\n",
            "\n",
            "Epoch 00005: LearningRateScheduler reducing learning rate to 0.0018850625000000005.\n",
            "Epoch 5/8\n",
            "136/136 [==============================] - 6s 47ms/step - loss: 0.0056 - RootMeanSquaredError: 0.0746\n",
            "\n",
            "Epoch 00006: LearningRateScheduler reducing learning rate to 0.0012602906250000002.\n",
            "Epoch 6/8\n",
            "136/136 [==============================] - 7s 49ms/step - loss: 0.0051 - RootMeanSquaredError: 0.0713\n",
            "\n",
            "Epoch 00007: LearningRateScheduler reducing learning rate to 0.0008541889062500001.\n",
            "Epoch 7/8\n",
            "136/136 [==============================] - 7s 50ms/step - loss: 0.0048 - RootMeanSquaredError: 0.0692\n",
            "\n",
            "Epoch 00008: LearningRateScheduler reducing learning rate to 0.0005902227890625002.\n",
            "Epoch 8/8\n",
            "136/136 [==============================] - 7s 51ms/step - loss: 0.0045 - RootMeanSquaredError: 0.0670\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "u_TxVHXPfg9Y",
        "colab_type": "code",
        "outputId": "9a001eb0-3aee-424d-9a86-fabbbeb9e952",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 387
        }
      },
      "source": [
        "display_loss(history.history, full_history.history, NB_EPOCHS)"
      ],
      "execution_count": 72,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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ITInv5LyJ1dqD+5ynJLrw+CwsS9VzaaMxY6B/f3tcWgpz5zobj4iIiIiIxIz4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\nrkJggg==\n",
            "text/plain": [
              "<Figure size 1209.6x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xBmt2uUVfg9N",
        "colab_type": "text"
      },
      "source": [
        "## Inference\n",
        "This is a generative model: run one trained RNN cell in a loop"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UFalPiNOr2pt",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# Inference from stateful model\n",
        "def keras_prediction_run(model, prime_data, run_length):\n",
        "  model.reset_states()\n",
        "  \n",
        "  data_len = prime_data.shape[0]\n",
        "  \n",
        "  #prime_data = np.expand_dims(prime_data, axis=0) # single batch with everything\n",
        "  prime_data = np.expand_dims(prime_data, axis=-1) # each sequence is of size 1\n",
        "  \n",
        "  # prime the state from data\n",
        "  for i in range(data_len - 1): # keep last sample to serve as the input sequence for predictions\n",
        "    model.predict(np.expand_dims(prime_data[i], axis=0))\n",
        "  \n",
        "  # prediction run\n",
        "  results = []\n",
        "  Yout = prime_data[-1] # start predicting from the last element of the prime_data sequence\n",
        "  for i in range(run_length+1):\n",
        "    Yout = model.predict(Yout)\n",
        "    results.append(Yout[0,0]) # Yout shape is [1,1] i.e one sequence of one element\n",
        "\n",
        "  return np.array(results)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "DBVi1tNofg9a",
        "colab_type": "code",
        "outputId": "9631e612-f914-4d16-c99e-21a9b299c31d",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 402
        }
      },
      "source": [
        "PRIMELEN=256\n",
        "RUNLEN=512\n",
        "OFFSET=20\n",
        "RMSELEN=128\n",
        "\n",
        "prime_data = data[OFFSET:OFFSET+PRIMELEN]\n",
        "\n",
        "# For inference, we need a single RNN cell (no unrolling)\n",
        "# Create a new model that takes a single sequence of a single value (i.e. just one RNN cell)\n",
        "inference_model = keras_model(1, 1)\n",
        "# Copy the trained weights into it\n",
        "inference_model.set_weights(model.get_weights())\n",
        "\n",
        "results = keras_prediction_run(inference_model, prime_data, RUNLEN)\n",
        "\n",
        "picture_this_8(data, prime_data, results, OFFSET, PRIMELEN, RUNLEN, RMSELEN)"
      ],
      "execution_count": 74,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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IuXEwyHIyRySlEsy7jUvLKUbCHt7z+j1ompjNbRWzsUy1qrivGjCnLFtfcX1wbiFBWYfX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CbD3C1Rw1ys1CjX9GSMTuZyqXyFcq2u7Bq9lePAoOWUvbYk6HQD3BwZ0QP0vbEAhYp9v+/lXIle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0MSbs914sQ8LTOPcDbnuZuj0DzpDnO3+UBUqsV18G/aLn/xqEj3jHb0CvjvhPXwd/8k/0z4e9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\nGigzzu/STzU3FdHDXI/XAwxS9CscY1h43q7orJGAud+UXtBx7cUKIwCz70N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FPGSI4F4T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Ca5JVSmeFYpZO86bM+hTCCi1qvWqn7fy7kCEVHBZTHtH0D6EsQormTLzGfLjJPDEdZaDNuO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\nGo1Go9FoNBqNRjOA/w8pW7YIUlNz8gAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 1209.6x432 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "RMSE on 128 predictions (shaded area): 0.08474911120182176\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AQn6WA-pfg9c",
        "colab_type": "text"
      },
      "source": [
        "Copyright 2019 Google LLC\n",
        "\n",
        "Licensed under the Apache License, Version 2.0 (the \"License\");\n",
        "you may not use this file except in compliance with the License.\n",
        "You may obtain a copy of the License at\n",
        "[http://www.apache.org/licenses/LICENSE-2.0](http://www.apache.org/licenses/LICENSE-2.0)\n",
        "Unless required by applicable law or agreed to in writing, software\n",
        "distributed under the License is distributed on an \"AS IS\" BASIS,\n",
        "WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
        "See the License for the specific language governing permissions and\n",
        "limitations under the License."
      ]
    }
  ]
}